The problem being who gets to mark your intervention and what you say, if Shearer is the guy marking the exam and giving the course, stopping a game and telling the striker to foul the defenders to put them off with a nice elbow will probably get you a high mark. AFAIK a lot of the places in the UK who run courses are often run by ex players/current coaches, and like anything else if a bad coach teaches you bad things and gives you bad pointers, and passes you because he thinks this bad advise is good, then thats not going to help anyone.
As for most of what you said, I've actually looked heavily into the coaching courses and have a VERY good idea what they entail, injury identification, not over training kids and the like still doesn't help you produce great players.
Almost everything you've described is the "basics" of the game, Alladyce can organise a well drilled defence, put together a team that works hard and makes it difficult to beat, but thats not the same as making great players, and improving a team to play better football capable of beating the best.
Knowing how to run a training session is one thing, knowing what the player needs to do to improve is a completely different, basically unteachable quality. You don't teach Fabregas the vision he has, you can get more out of him from training, you can teach him a better technique for shooting or teach him a well drilled midfield plan to work in, who closes when and where, but reading the game, spotting the danger, etc, thats pretty much down to the player.
That tends to be why Wenger always went for those "vision having" players as kids then tried to turn them into athletes, though lately he's reversed that, getting Walcott the athlete and trying to teach him when to pass, cross, and how to pass and cross and its failed miserably. Which should tell you maybe, that what really makes a great player can't particularly be taught.
But most certainly people should work out badges don't make a good OR bad coach, its a badge, its supposed to be the foundation for giving people a good grounding in what not to teach, and encourages(and is meant to) people to use the info to come up with their OWN training sessions afterwards, hopefully with a good idea of whats safe, and not, what can help with certain failings, IE poor passing, do passing technique training.
We have people with the highest Uefa badges, still teaching English players in the top league to just kick seven shades of **** out of each other.
A good coach who can nuture talent, or more importantly, spot inate talent in the first place will be a good coach without any badges and a bad coach could have all the best qualifcations in the world. Thats ignoring how relatively short and easy the courses are, with several premiership managers starting without the necessary badges, and doing in the region of 8-10 evenings on a course over a couple months and getting a badge.
The lowest badge IIRC is like 4 evenings, a couple training sessions a paper exam and a take a training session and be marked on it exam, you can do it in a week, the second and 3rd aren't much more but are certainly a level up. Uefa B is another level up but not massively so.